G11 SUPER GIO
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PRACTICE MISSIONdefinite integrals and the Fundamental Theorem

definite integrals and the Fundamental Theorem

NEW CASENEW EVIDENCE

FTC at a moving upper limit

F(x)=integral_1^(x^2) cos(t)dt. By the Fundamental Theorem and chain rule, F'(x)=cos(x^2)*2x.

  1. Evaluate the integrand at the upper limit.
  2. Multiply by the derivative of x^2.
  3. The lower limit is constant.

What is F'(sqrt(pi))?

MODELAccumulation Meter
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.